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Finding the Fourth Proportional to 1,047.87, 1,572.03 and 354.48

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Solution

The fourth proportional to 1,047.87, 1,572.03 and 354.48 is: 531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.87 : 1,572.03 = 354.48 : x
  2. Step 2: Convert to fraction form
    1,047.87/1,572.03 = 354.48/x
  3. Step 3: Cross multiply
    1,047.87x = 1,572.03 × 354.48
  4. Step 4: Simplify right side
    1,047.87x = 557,253.19
  5. Step 5: Solve for x
    x = 557,253.19/1,047.87
  6. Step 6: Final answer
    x = 531.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.